I have two lines on a plot and I want Julia to find the intersection between the two lines but I can’t seem to find a package that can help with that. [myplot]

see [image] Mark the Intersection Points on a Plot Graph New to Julia Some example code for computing the intersection of curves from discrete data points using polynomial fits. This code blocks creates some artificial data. using Polynomials, Plots # two functions that intersect on an interval (a,b) f1(x) = 2x + 12 f2(x) = x^2 (a,b) = (2,7) # the interval of interest n = 10 # number of data points ynoise = 0.3 # noise level, absolute # create some noisy data from those two functions x = range(a, b, length=n) y1 = f1.(x) + ynoise*randn(n) y2 …

or even: [image] Find intersection between curves in julia New to Julia Hello, I have two curves with the values: col_y = [8.02511788606e7, 9.98481296252e7, 2.328332483329e8, 6.148181496526e8, 9.453171952624e8, 1.2331292887706e9, 1.4394296796998e9, 1.460066157955e9, 1.3570403824485e9, 1.4269447174002e9] vin_y = [1.434628836798e8, 1.318375623746e8, 1.108524843855e8, 6.91176196241e7, 4.19137382458e7, 1.48676444645e7, 1.00659726053e7, 7.8734512643e6] Is it possible to find the intersection x between these two curves? what is the approach in julia? Thank you

The GMT fill_between function uses the gmtspatial module to do that. https://www.generic-mapping-tools.org/GMTjl_doc/examples/plotting_functions/02_1filledlines/#fill_between

Idea basically, if we don’t have explicit function expression, the curve is a set of data simplify way is link two points to segment ,then check whether two segment intersect this is naive method. But I thought this is not a simple question, for numerical method, neighbors are problem step package Meshes.jl for Segment method Intersectionusing Meshes s1 = Segment((0.0,0.0), (1.0,0.0)) s2 = Segment((0.5,0.0), (2.0,0.0)) inst=s1 ∩ s2 typeof(inst)==Point2 if segment does’nt intersect, then return nothing make data iterate to find intersection point code using Meshes step = 100 xspan = range(-2, 2, step) arr = [] d1 = [(x, x^2) for x in xspan] .|> (d -> (round(d[1], digits=4), round(d[2], digits=4))) d2 = [(x, 2 * x) for x in xspan] .|> (d -> (round(d[1], digits=4), round(d[2], digits=4))) for i in 1:step-1 local s1 = Segment(d1[i], d1[i+1]) local s2 = Segment(d2[i], d2[i+1]) local bool = s1 ∩ s2 |> d -> (typeof(d) == Point2) (bool == true) && push!(arr, res) end arr [intersection]

Intersection of two plots

General Usage

nilshg May 11, 2023, 3:45pm 3

or even:

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Intersection of two plots

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